The Serbian came out on top against fellow Spurs youngster Cameron Carter-Vickers in a quarter-final against USA, which went to penalties.
Both Spurs players missed spot-kicks, with Veljkovic jokingly blaming the effect of playing in England, such is the Three Lions' poor tournament record.
He said: "The English have never been good at penalties, so maybe they're teaching us bad habits!
"It's easy enough for me to smile now because my team went on to win, but I definitely feel really sorry for Cameron.
"We spoke afterwards and I told him that he was unlucky - that it could have been me in his shoes - and that he played really well, which he did."
The friendship and respect between the pair is positive for fans to learn of, especially as it is conceivable the duo could one day form a partnership at centre-back for the club.
Veljkovic is back playing in his favoured position, having been tested in midfield on loan at Charlton last season before picking up an injury which ruined his campaign.
Carter-Vickers impressed during the tournament, but was clearly upset to see his side bow out, as conveyed via his official Twitter account.
It is now up to Veljkovic to try to ensure at least one Tottenham player comes back with a winner's medal, and they face surprise package Mali on June 19. The winner will face either Senegal or Brazil in the final.
A victory would be a perfect end to the season for the teenager, and set him up with all the confidence he needs ahead of pre-season to prove himself capable of playing a role for the club in 2015/16.